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How many three digits numbers are divisible by 9?chapter arithmetic progression class 10th​

Answer»

The three digits NUMBERS which are divisible by 9 are 108,117,126,…,999

Then, FIRST term a =108 COMMON difference =9

Last term =999 We know that, l=a

n

=a+(n−1)d

999=108+(n−1)9

999−108=9n−9

891+9=9n

900=9n

n=900/9

n=100

Therefore, there are 100 three digits numbers.


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